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Finding the Fourth Proportional to 14,080.54, 19,430.35 and 7,707.12

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Solution

The fourth proportional to 14,080.54, 19,430.35 and 7,707.12 is: 10,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.54 : 19,430.35 = 7,707.12 : x
  2. Step 2: Convert to fraction form
    14,080.54/19,430.35 = 7,707.12/x
  3. Step 3: Cross multiply
    14,080.54x = 19,430.35 × 7,707.12
  4. Step 4: Simplify right side
    14,080.54x = 149,752,039.09
  5. Step 5: Solve for x
    x = 149,752,039.09/14,080.54
  6. Step 6: Final answer
    x = 10,635.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.